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13440460 = 22511199307
BaseRepresentation
bin110011010001…
…010111001100
3221021211211211
4303101113030
511420043320
61200024204
7222146005
oct63212714
927254754
1013440460
117650020
124602064
132a27847
141adc1ac
1512a755a
hexcd15cc

13440460 has 48 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 4847040.

The previous prime is 13440437. The next prime is 13440461. The reversal of 13440460 is 6404431.

It is a happy number.

13440460 is nontrivially palindromic in base 12.

13440460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13440461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43627 + ... + 43933.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 213440460 is an apocalyptic number.

13440460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

13440460 is an abundant number, since it is smaller than the sum of its proper divisors (17605940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13440460 is a wasteful number, since it uses less digits than its factorization.

13440460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 13440460 is about 3666.1232930713. The cubic root of 13440460 is about 237.7595905836.

Adding to 13440460 its reverse (6404431), we get a palindrome (19844891).

The spelling of 13440460 in words is "thirteen million, four hundred forty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 307 398 614 796 995 1228 1535 1990 2189 3070 3377 3980 4378 6140 6754 8756 10945 13508 16885 21890 33770 43780 61093 67540 122186 244372 305465 610930 672023 1221860 1344046 2688092 3360115 6720230 13440460